Percentage Calculations
Use these calculators to solve various percentage-related problems. Enter any two values to calculate the third value.
Percentage Calculator
Calculate the percentage of a number or find what percent one number is of another.
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Percentage Difference Calculator
Calculate the percentage difference between two values.
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Percentage Change Calculator
Calculate the percentage increase or decrease between two values.
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How to Calculate Percentages
Learn the step-by-step process for different percentage calculations.
1 Basic Percentage Calculation
To find a percentage of a number:
- Convert the percentage to a decimal by dividing by 100
- Multiply the decimal by the number
Example: What is 20% of 150?
(20 ÷ 100) × 150 = 0.2 × 150 = 30
2 Finding What Percentage One Number Is of Another
To find what percentage one number is of another:
- Divide the first number by the second number
- Multiply the result by 100
Example: What percentage is 25 of 200?
(25 ÷ 200) × 100 = 0.125 × 100 = 12.5%
3 Percentage Change Calculation
To calculate percentage increase or decrease:
- Subtract the original value from the new value
- Divide the result by the original value
- Multiply by 100 to get the percentage
Example: A product price increased from $50 to $60. What is the percentage increase?
((60 - 50) ÷ 50) × 100 = (10 ÷ 50) × 100 = 0.2 × 100 = 20% increase
4 Percentage Difference Calculation
To calculate the percentage difference between two values:
- Find the absolute difference between the two values
- Calculate the average of the two values
- Divide the difference by the average
- Multiply by 100 to get the percentage
Example: What is the percentage difference between 80 and 100?
(|80 - 100| ÷ ((80 + 100) ÷ 2)) × 100 = (20 ÷ 90) × 100 ≈ 22.22%
Frequently Asked Questions
Common questions about percentage calculations.
To calculate a percentage, divide the part by the whole and multiply by 100. For example, to find what percentage 25 is of 200: (25 ÷ 200) × 100 = 12.5%.
Percentage difference compares two values without considering direction (always positive), while percentage change measures increase or decrease from an initial value to a final value (can be positive or negative).
To calculate percentage increase: (New Value - Original Value) ÷ Original Value × 100. For example, if a price increases from $50 to $60: (60-50)÷50×100 = 20% increase.
The formula is: (Percentage ÷ 100) × Number. For example, to find 15% of 200: (15÷100)×200 = 30.
To add a percentage to a number: Number + (Number × (Percentage ÷ 100)). For example, to add 10% to 50: 50 + (50 × 0.10) = 55.
To subtract a percentage from a number: Number - (Number × (Percentage ÷ 100)). For example, to subtract 15% from 80: 80 - (80 × 0.15) = 80 - 12 = 68.
A percentage point is the unit for the difference between two percentages. For example, if an interest rate increases from 5% to 7%, it has increased by 2 percentage points, which is a 40% increase (2÷5×100).
Practical Examples
Example 1: Basic Percentage
What is 15% of 200?
Answer: 15% × 200 = 30
Example 2: Percentage Difference
The price of a product was $50 and increased to $60. What is the percentage increase?
Answer: (60 - 50) ÷ 50 × 100 = 20% increase
Example 3: Finding Percentage
25 is what percent of 200?
Answer: (25 ÷ 200) × 100 = 12.5%
Example 4: Percentage Decrease
A company's revenue decreased from $1,000,000 to $850,000. What is the percentage decrease?
Answer: (1,000,000 - 850,000) ÷ 1,000,000 × 100 = 15% decrease
Example 5: Reverse Percentage Calculation
After a 20% discount, a product costs $80. What was the original price?
Answer: $80 represents 80% of the original price (100% - 20% discount). Original price = $80 ÷ 0.8 = $100